Details

sample16.0ms

Algorithm

intervals

Results

9.0ms

371×

body

valid

simplify198.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	4
1	35	4
2	89	4
3	157	4
4	170	4
5	186	4
6	244	4
7	442	4
8	1389	4
9	4761	4
10	5001	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.2b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x x) (- 3.0 (* x 2.0)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `prod-diff` `add-cbrt-cube`
5×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in`
4×	`add-cube-cbrt` `*-un-lft-identity`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `associate-l` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 33

Calls

1 calls:

7.0ms

(* (* x x) (- 3.0 (* x 2.0)))

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

(* (* x x) (- 3.0 (* x 2.0)))

simplify37.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	216	252
1	984	214
2	5002	203

prune53.0ms

Filtered

36 candidates to 20 candidates (55.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	30	6	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	6	37

Merged error: 0.0b

Counts

37 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 2.0 (pow x 3))
0.0b	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
0.2b	(* (* x x) 3.0)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`associate-r`
13×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-log-exp`
6×	`prod-exp`
5×	`unswap-sqr`
4×	`unpow-prod-down` `cube-prod` `associate-l` `cbrt-unprod`
3×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u`
2×	`sum-log` `*-commutative` `sqr-pow`
1×	`+-commutative` `neg-sub0` `cube-mult` `pow-to-exp` `associate-+r-` `fma-def` `flip3-+` `unpow3` `unsub-neg` `neg-log` `pow-exp` `flip-+`

Counts

3 → 72

Calls

3 calls:

6.0ms	(* 2.0 (pow x 3))
8.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
5.0ms	(* (* x x) 3.0)

series154.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(* 2.0 (pow x 3))
93.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
24.0ms	(* (* x x) 3.0)

simplify61.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	305	350
1	1570	308
2	5001	301

prune127.0ms

Filtered

81 candidates to 55 candidates (67.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	81	6	87

Merged error: 0.0b

Counts

87 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 2.0 (pow x 3))
0.0b	(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
0.2b	(* x (* x 3.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-exp-log` `associate-r`
10×	`add-cbrt-cube`
8×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-log-exp`
6×	`associate-l` `prod-exp`
4×	`unpow-prod-down` `cube-prod` `cbrt-unprod` `unswap-sqr`
3×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u`
2×	`sum-log` `*-commutative` `sqr-pow`
1×	`+-commutative` `neg-sub0` `cube-mult` `pow-to-exp` `associate-+r-` `fma-def` `flip3-+` `unpow3` `unsub-neg` `neg-log` `pow-exp` `flip-+`

Counts

3 → 71

Calls

3 calls:

6.0ms	(* 2.0 (pow x 3))
5.0ms	(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
5.0ms	(* x (* x 3.0))

series151.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* 2.0 (pow x 3))
93.0ms	(+ (* x (* x 3.0)) (- (* 2.0 (pow x 3))))
24.0ms	(* x (* x 3.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	292	346
1	1485	306
2	5002	298

prune117.0ms

Filtered

80 candidates to 54 candidates (67.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	81	5	86

Merged error: 0.0b

Counts

86 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 2.0 (pow x 3))
0.1b	(fma x (* x 3.0) (- (* 2.0 (pow x 3))))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 43

Calls

2 calls:

6.0ms	(* 2.0 (pow x 3))
1.0ms	(fma x (* x 3.0) (- (* 2.0 (pow x 3))))

series138.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* 2.0 (pow x 3))
103.0ms	(fma x (* x 3.0) (- (* 2.0 (pow x 3))))

simplify203.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	151	210
1	632	185
2	4415	182
3	5002	182

prune70.0ms

Filtered

49 candidates to 33 candidates (67.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	49	5	54

Merged error: 0.0b

Counts

54 → 5

regimes20.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	5
1	17	5
2	17	5

end0.0ms

sample410.0ms

Algorithm

intervals

Results

286.0ms

11916×

body

valid